Answer:
You can use the midpoint formula.
Method:
MAB = (Ax+Bx)/2 ; (Ay+By)/2
Substitute in what you have:
(2;4) = (Ax+3)/2 ; (Ay+7)/2
Because we know the x coordinate of the midpoint, we can assume that:
2 = (Ax+3)/2
And now solve for Ax:
4 = Ax+3
Ax = 1
Because we know the y coordinate of the midpoint, we can assume that:
4 = (Ay+7)/2
And now solve for Ay:
8 = Ay+7
Ay = 1
Therefore A(1;1)
Is this a relation: {(-2,1), (0,0), (0,1), (1,-2), (1,0), (1,3), (2,0)}? Explain why or why not.
tatiyna
It is a relation because any relation is simply a set of (x,y) values known as points or ordered pairs. There are no other qualifications needed to be a relation. We simply pair up any x and y value we want.
I think you meant to ask if it's a function or not. If so, then the answer is "no, it is not a function". Why not? Because the x value x = 0 produces more than one y output y = 1 and y = -2. Graph these points and you'll see them fail the vertical line test (ie its possible to draw a vertical line through more than one point on the graph). The same issue happens with (1,-2), (1,0) and (1,3) as well.
In summary:
Yes it is a relation
No it is not a function
The reasoning for each is stated above
Answer:
x = -0.683 (3dp)
x = -7.317 (3dp)
Step-by-step explanation:
<u>Step 1: Apply the quadratic formula</u>
(-b±(
)) / 2a
a = 1 <em>(x²)</em>
b = 8 <em>(8x)</em>
c = 5 <em>(5)</em>
(-8±(
)) / 2 x 1
<u>Step 2: Simplify</u>
(-8±(
)) / 2
<u>Step 3: Solve</u>
You need to replace the ± with first a + and then a -.
(-8+()) / 2 = -0.683 (3dp) = x
(-8-()) / 2 = -7.317 (3dp) = x
Hope this helps!
Answer:
x = 81
Step-by-step explanation:
using the rule of logarithms
x = n ⇒ x = 
given
x = 4 , then
x = 
= 81
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. which would be the same in geo.
